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Finding the Fourth Proportional to 190.92, 286.32 and 75.30

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Solution

The fourth proportional to 190.92, 286.32 and 75.30 is: 112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.92 : 286.32 = 75.30 : x
  2. Step 2: Convert to fraction form
    190.92/286.32 = 75.30/x
  3. Step 3: Cross multiply
    190.92x = 286.32 × 75.30
  4. Step 4: Simplify right side
    190.92x = 21,559.90
  5. Step 5: Solve for x
    x = 21,559.90/190.92
  6. Step 6: Final answer
    x = 112.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.